Algebra

Andy has 145 coins in his coin bank. THe number of 5-denomination coins is 10 more than twice the number of 10-denomination coins. The difference between the number of 1-denomination coins and 5-denomination coins is 5 more than the number of 10-denomination coins. How many of each kind of coin does he have?

  1. 👍 0
  2. 👎 0
  3. 👁 69
  1. tens = t
    fives = f
    ones = p
    then
    t+f+p = 145
    f = 10+2t
    p - f = 5 + t so p = 5+f +t
    = 5 + 10+2t + t = 15+3t
    so
    t + 10+2t + 15+3t = 145

    6 t + 25 = 145
    6 t = 120
    t = 20
    p = 15+3(20) = 75
    f = 10+2(20) = 50

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math - Algebra

    The number 350 is separated into three parts (numbers). Dividing the first number by the third will give 2 and dividing the second number by the pfirst number will give 5 and a remainder of 25. Find the three numbers. Andy has 145

    asked by Ashley Kate on January 5, 2014
  2. ALgebra

    Dave Bowers collects U.S. gold coins. He has a collection of 54 coins. Some are​ $10 coins, and the rest are​ $20 coins. If the face value of the coins is ​$780​, how many of each denomination does he​ have?

    asked by Rissa on January 21, 2016
  3. maths

    mohan changed 2 in to 5 p 20 p and 50 p coins. if the number of 5 p coins was double the number of 20 p coins and the 50 p coins were one fifth the 20 p coins . how many coins of each denomination did he get?

    asked by shehzad on October 19, 2015
  4. linear equations in one variable

    I have a total of ₹300 in coins of denomination ₹1,₹2 and ₹5.The number of ₹2 coins is 3 times the number of ₹5 coins.The total number of coins is 160.How many coins of each denominations are with me?

    asked by sunil on April 7, 2016
  5. algebra 1

    There are 16 coins in a piggy bank. The coins are all nickels and dimes. All together the total amount of money in the bank is $1.05. How many of each coin are there?

    asked by rachel on December 7, 2011
  6. Algebra

    This is a word problem I am supposed to solve with systems. I am having trouble setting it up if anyone could help me. A coin bank contains only dimes and nickels. The bank contains 46 coins. If 5 dimes and 2 nickels were removed

    asked by emm on November 13, 2008
  7. statistics

    Five coins all balanced the same were tossed 150 times. Note that, while the coins are all balanced the same, they may or may not be fair coins. Since five coins were tossed, the possible number of heads for each toss could be

    asked by scott on May 13, 2014
  8. maths

    Andrew has 7 20c coins and 5 50c coins in his piggy bank. What is the smallest number of coins he might have to shake out to be certain of having 2 50c coins?

    asked by Carolyn on April 25, 2012
  9. math

    shinta notice that in her piggy bank she has 60 coins all of which are $1 or $2 pieces. She finds that the value of the coins is $92. Let x be the number of $1 coins she has, make an equation on find x.

    asked by Anonymous on May 13, 2017
  10. Math

    A bank teller notices that he has 50 coins, all of which are 5 and 10 cent pieces. He finds the value of the coins is $3.90. How many of each coin does he have?

    asked by Bella on May 21, 2009

More Similar Questions